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12094016 = 261141419
BaseRepresentation
bin101110001000…
…101001000000
3211202102212112
4232020221000
511044002031
61111114452
7204540344
oct56105100
924672775
1012094016
116910460
124072a28
132675a2c
14186b624
1510dd62b
hexb88a40

12094016 has 56 divisors (see below), whose sum is σ = 26883360. Its totient is φ = 5350400.

The previous prime is 12094009. The next prime is 12094039. The reversal of 12094016 is 61049021.

It is a happy number.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12093982 and 12094000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28655 + ... + 29073.

It is an arithmetic number, because the mean of its divisors is an integer number (480060).

Almost surely, 212094016 is an apocalyptic number.

12094016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12094016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13441680).

12094016 is an abundant number, since it is smaller than the sum of its proper divisors (14789344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12094016 is a wasteful number, since it uses less digits than its factorization.

12094016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 12094016 is about 3477.6451802908. The cubic root of 12094016 is about 229.5391907985.

It can be divided in two parts, 1209 and 4016, that added together give a palindrome (5225).

The spelling of 12094016 in words is "twelve million, ninety-four thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 164 176 328 352 419 451 656 704 838 902 1312 1676 1804 2624 3352 3608 4609 6704 7216 9218 13408 14432 17179 18436 26816 28864 34358 36872 68716 73744 137432 147488 188969 274864 294976 377938 549728 755876 1099456 1511752 3023504 6047008 12094016